4431233664 has 384 divisors, whose sum is σ = 15406634880. Its totient is φ = 1204346880.

The previous prime is 4431233657. The next prime is 4431233689. The reversal of 4431233664 is 4663321344.

4431233664 is a `hidden beast` number, since 4 + 4 + 312 + 336 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6094869 + ... + 6095595.

It is an arithmetic number, because the mean of its divisors is an integer number (40121445).

Almost surely, 2^4431233664 is an apocalyptic number.

4431233664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703317440).

4431233664 is an abundant number, since it is smaller than the sum of its proper divisors (10975401216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4431233664 is a wasteful number, since it uses less digits than its factorization.

4431233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 793 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 4431233664 is about 66567.5120760871. The cubic root of 4431233664 is about 1642.5107368480.

The spelling of 4431233664 in words is "four billion, four hundred thirty-one million, two hundred thirty-three thousand, six hundred sixty-four".